GATE Questions and Answers with Explanation

Q:

Breadth of a rectangle is equal to the diagonal of the square whose side is 2.5√2 cm. Ratio between length and breadth of rectangle is 3 : 1. Find the area of the rectangle (in cm2).

A) 75	B) 90
C) 85	D) 80

Answer & Explanation Answer: A) 75

Explanation:

Diagonal of Square = Side √2= 2.5√2 × √2= 5 cm
Breadth = 5 cm
Length of rectangle = 5 × 3 = 15 cm
Area of rectangle = 15 × 5 = 75 cm2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 1448

Q:

$If y = \frac{2 - x}{1 + x}, then what is the value of \frac{1}{y + 1} + \frac{2 y + 1}{y^{2} - 1} ?$

A) (1+x)(2-x)2x-1	B) (1-x)(2+x)x-1
C) (1+x)(2-x)1-2x	D) (1+x)(1-2x)2-x

Answer & Explanation Answer: C) (1+x)(2-x)1-2x

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 1440

Q:

Which was a cause of the French Revolution?

A) Poitical	B) Cultural & Social
C) Financial	D) All of the above

Answer & Explanation Answer: D) All of the above

Explanation:

The causes for the French Revolution in the year 1780 includes Social, Cultural, Political, Financial and Economical.

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Filed Under: World History
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

2 1436

Q:

In a Δ ABC, DE || BC. D and E lie on AB and AC respectively. If AB = 7 cm and BD = 3cm, then find BC:DE

A) 2:2	B) 3:2
C) 3.5:2	D) 7:2

Answer & Explanation Answer: C) 3.5:2

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 1418

Q:

A circle and a square have same area. The ratio of the side of the square to the radius of the circle will be:

A) π:1	B) 1:π
C) π2:1	D) 1:π

Answer & Explanation Answer: A) π:1

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 1417

Q:

If $x + \frac{1}{x} = 4, then what is the value of x^{6} + \frac{1}{x^{6}} ?$

A) 52	B) 256
C) 1026	D) 2702

Answer & Explanation Answer: D) 2702

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 1407

Q:

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

A) 1677	B) 1683
C) 2523	D) 3363

Answer & Explanation Answer: B) 1683

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

0 1403

Q:

The point equidistant from the vertices of a triangle is called its

A) incentre	B) circumcentre
C) orthocentre	D) centroid

Answer & Explanation Answer: B) circumcentre

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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